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Finding the Fourth Proportional to 12,281, 16,947.78 and 6,692

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Solution

The fourth proportional to 12,281, 16,947.78 and 6,692 is: 9,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281 : 16,947.78 = 6,692 : x
  2. Step 2: Convert to fraction form
    12,281/16,947.78 = 6,692/x
  3. Step 3: Cross multiply
    12,281x = 16,947.78 × 6,692
  4. Step 4: Simplify right side
    12,281x = 113,414,543.76
  5. Step 5: Solve for x
    x = 113,414,543.76/12,281
  6. Step 6: Final answer
    x = 9,234.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.